Theorems · Definition · ring theory
NonUnitalSubring.gi
(R : Type u) → [inst : NonUnitalNonAssocRing R] → GaloisInsertion NonUnitalSubring.closure SetLike.coe
closure forms a Galois insertion with the coercion to set.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalNonAssocRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- SetLike.coestatement and proof · cited by 8,199
- NonUnitalNonAssocRingstatement and proof · cited by 354
- NonUnitalSubringstatement and proof · cited by 185
- GaloisInsertionstatement · cited by 35
- NonUnitalSubring.closurestatement and proof · cited by 23
- NonUnitalSubring.closure_leproof · cited by 7
Cited by6
Results whose statement or proof uses this declaration.
- NonUnitalSubring.closure_eqproof · cited by 1
- NonUnitalSubring.closure_sUnionproof · cited by 0
- NonUnitalSubring.closure_unionproof · cited by 0
- NonUnitalRingHom.map_closureproof · cited by 0
- NonUnitalSubring.closure_emptyproof · cited by 0
- NonUnitalSubring.closure_iUnionproof · cited by 0